Homework Help: Relation between Change in Potential Energy and Work Done

1. Jun 22, 2013

andyrk

Why is dU=-$\vec{F}$.d$\vec{r}$
Integrating with putting the limits on we get:
ΔU=-W
Why is this? Here $\vec{F}$ is a conservative force/Force field.

2. Jun 22, 2013

tiny-tim

3. Jun 22, 2013

andyrk

Does it have any proof? Or is it just stated out of nowhere?

4. Jun 22, 2013

dreamLord

Potential Energy is actually defined that way. It doesn't require a proof.

5. Jun 22, 2013

tiny-tim

yup!

definition!

(also applies eg to gravity)

(and only works for conservative forces)